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faltersainse [42]
3 years ago
5

What is 1 and 3/4 + 1 and 5/8?

Mathematics
2 answers:
Pie3 years ago
5 0

Answer:

3 3/8

Step-by-step explanation:

1  3/4 + 1 5/8

We need to get a common denominator of 8

1 3/4 *2/2  + 1 5/8

1 6/8  + 1 5/8

I like to line them up vertically

1  6/8

1  5/8

---------------

2 11/8

But 11 is larger than 8  so we subtract 8/8 and add 1

2 11/8

+1 -8/8

---------------

3 3/8

OleMash [197]3 years ago
5 0
The answer of this question is 3.375
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determine the slope of the tangent to the curve at the point y=(3x)(sinx) at the point with x-coordinate pi/2 ​
damaskus [11]

Answer:

Step-by-step explanation:

The slope of the tangent to a curve is the derivative of the curve. We need to find the derivative of the function and then evaluate the derivative at that given x value. The derivative is found using the product rule:

y'=f(x)g'(x)+f'(x)g(x)

Let's call 3x our f(x) and sin(x) our g(x). Filling in the formula for the derivative using the product rule looks like this:

y'=3x(cosx)+3sinx

That gives us the derivative, which is the slope formula that can be used at ANY x value anywhere on the curve to find the slope of the line tangent to the curve at that x value. If we want to find the slope of the tangent line to the curve at x = pi/2, we evaluate the slope formula at x = pi/2 (remember that y' is the same exact thing as the slope):

y'(slope)=3(\frac{\pi}{2})(cos\frac{\pi}{2})+3(sin\frac{\pi}{2})

From the unit circle (or experience, since you're in advaced math), we know that the cosine of pi/2 is 0 and that the sin of pi/2 = 1:

y'(slope)=3(\frac{\pi}{2})(0)+3(1) simplifies to

y' (slope) = 3

That means that the slope of the line tangent to the curve at the point x = pi/2 is 3.

8 0
4 years ago
Which points are solutions to the system of inequalities shown below check all that apply y>x+1
Arte-miy333 [17]

The points which satisfy the inequalities in discuss are; Choices D (7,10) and F(8,17).

<h3>Which points omg the answer choices satisfy the system of inequalities?</h3>

It follows from the inequality; x > 5.

Also, substituting 5 for x in; y < 2(x); we have;

y < 10.

Hence, the points which satisfy the inequalities are; (8,17) and (7,10).

Read more on inequalities;

brainly.com/question/11613554

#SPJ1

5 0
2 years ago
Find the unit rate. Nuts cost $10.75 for 3 pounds.
zloy xaker [14]
To find the unit rate, you would have to divide $10.75 by 3, which equals $3.58. The unit rate would be $3.58 per pound.
7 0
4 years ago
Read 2 more answers
I need some help with this math problem. I've had it explained to me two different ways. If x= -3 then what would be the answer
nadya68 [22]

Answer:

The square root of x will be evaluated first before the addition of 5. Hence (-3)^2 = 9 and 9 +5 = 14, as per your teacher's answer, which is correct. The answer would not be -4.

8 0
4 years ago
Read 2 more answers
The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.4096, 0.4096, 0.1536, 0.0
Zinaida [17]

Answer:

E(X) = \sum_{i=1}^n X_i P(X_i)

And if we replace we got:

E(X) = 0*0.4096 +1*0.4096+ 2*0.1536+ 3*0.0256 +4*0.0016 = 0.8

So we expect about 0.8 defective computes in a batch of 4 selected.

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

Solution to the problem

For this case we have the following distribution given:

X           0             1               2               3             4

P(X)  0.4096    0.4096    0.1536    0.0256    0.0016

And we satisfy that P(X_i) \geq 0 and \sum P(X_i) =1 so we have a probability distribution. And we can find the expected value with the following formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And if we replace we got:

E(X) = 0*0.4096 +1*0.4096+ 2*0.1536+ 3*0.0256 +4*0.0016 = 0.8

So we expect about 0.8 defective computes in a batch of 4 selected.

5 0
4 years ago
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